Proper use of Lanczos vectors for large eigenvalue problems

I. U. Ojalvo

doi:10.1016/0045-7949(85)90060-4

Proper use of Lanczos vectors for large eigenvalue problems

I. U. Ojalvo

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

The present work attempts to answer questions regarding the accuracy, reduction order, and starting vector selection strategy when employing Lanczos vectors to solve very large symmetric eigenvalue problems. A logic is offered to make the method as accurate as desired consistent with computational efficiency and round-off. The underlying mathematical reasoning is presented from which the proposed algorithm is derived.

Original language	English (US)
Pages (from-to)	115-120
Number of pages	6
Journal	Computers and Structures
Volume	20
Issue number	1-3
DOIs	https://doi.org/10.1016/0045-7949(85)90060-4
State	Published - 1985
Externally published	Yes

All Science Journal Classification (ASJC) codes

Civil and Structural Engineering
Modeling and Simulation
General Materials Science
Mechanical Engineering
Computer Science Applications

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10.1016/0045-7949(85)90060-4

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abstract = "The present work attempts to answer questions regarding the accuracy, reduction order, and starting vector selection strategy when employing Lanczos vectors to solve very large symmetric eigenvalue problems. A logic is offered to make the method as accurate as desired consistent with computational efficiency and round-off. The underlying mathematical reasoning is presented from which the proposed algorithm is derived.",

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AU - Ojalvo, I. U.

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AB - The present work attempts to answer questions regarding the accuracy, reduction order, and starting vector selection strategy when employing Lanczos vectors to solve very large symmetric eigenvalue problems. A logic is offered to make the method as accurate as desired consistent with computational efficiency and round-off. The underlying mathematical reasoning is presented from which the proposed algorithm is derived.

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JO - Computers and Structures

JF - Computers and Structures

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ER -

Proper use of Lanczos vectors for large eigenvalue problems

Abstract

All Science Journal Classification (ASJC) codes

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